Pseudo-scalar meson spectral properties in the chiral crossover region of QCD

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Main Authors: Bala, Dibyendu, Kaczmarek, Olaf, Lowdon, Peter, Philipsen, Owe, Ueding, Tristan
Format: Preprint
Published: 2023
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author Bala, Dibyendu
Kaczmarek, Olaf
Lowdon, Peter
Philipsen, Owe
Ueding, Tristan
author_facet Bala, Dibyendu
Kaczmarek, Olaf
Lowdon, Peter
Philipsen, Owe
Ueding, Tristan
contents Determining the type of excitations that can exist in a thermal medium is key to understanding how hadronic matter behaves at extreme temperatures. In this work we study this question for pseudo-scalar mesons comprised of light-strange and strange-strange quarks, analysing how their low-energy spectral properties are modified as one passes through the high-temperature chiral crossover region between $T=145.6 \, \text{MeV}$ and $172.3 \, \text{MeV}$. We utilise the non-perturbative constraints satisfied by correlation functions at finite temperature in order to extract the low-energy meson spectral function contributions from spatial correlator lattice data in $N_{f}=2+1$ flavour QCD. The robustness of these contributions are tested by comparing their predictions with data for the corresponding temporal correlator at different momentum values. We find that around the pseudo-critical temperature $T_{\text{pc}}$ the data in both the light-strange and strange-strange channels is consistent with the presence of a distinct stable particle-like ground state component, a so-called thermoparticle excitation. As the temperature increases this excitation undergoes collisional broadening, and this is qualitatively the same in both channels. These findings suggest that pseudo-scalar mesons in QCD have a bound-state-like structure at low energies within the chiral crossover region which is still strongly influenced by the vacuum states of the theory.
format Preprint
id arxiv_https___arxiv_org_abs_2310_13476
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Pseudo-scalar meson spectral properties in the chiral crossover region of QCD
Bala, Dibyendu
Kaczmarek, Olaf
Lowdon, Peter
Philipsen, Owe
Ueding, Tristan
High Energy Physics - Lattice
High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
Determining the type of excitations that can exist in a thermal medium is key to understanding how hadronic matter behaves at extreme temperatures. In this work we study this question for pseudo-scalar mesons comprised of light-strange and strange-strange quarks, analysing how their low-energy spectral properties are modified as one passes through the high-temperature chiral crossover region between $T=145.6 \, \text{MeV}$ and $172.3 \, \text{MeV}$. We utilise the non-perturbative constraints satisfied by correlation functions at finite temperature in order to extract the low-energy meson spectral function contributions from spatial correlator lattice data in $N_{f}=2+1$ flavour QCD. The robustness of these contributions are tested by comparing their predictions with data for the corresponding temporal correlator at different momentum values. We find that around the pseudo-critical temperature $T_{\text{pc}}$ the data in both the light-strange and strange-strange channels is consistent with the presence of a distinct stable particle-like ground state component, a so-called thermoparticle excitation. As the temperature increases this excitation undergoes collisional broadening, and this is qualitatively the same in both channels. These findings suggest that pseudo-scalar mesons in QCD have a bound-state-like structure at low energies within the chiral crossover region which is still strongly influenced by the vacuum states of the theory.
title Pseudo-scalar meson spectral properties in the chiral crossover region of QCD
topic High Energy Physics - Lattice
High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
url https://arxiv.org/abs/2310.13476